B. K. Sharma, B. S. Thakur. Fixed Point with Orbital Diametral Function[J]. Applied Mathematics and Mechanics, 1996, 17(2): 139-143.
Citation: B. K. Sharma, B. S. Thakur. Fixed Point with Orbital Diametral Function[J]. Applied Mathematics and Mechanics, 1996, 17(2): 139-143.

Fixed Point with Orbital Diametral Function

  • Received Date: 1994-11-03
  • Publish Date: 1996-02-15
  • A foremost general contraction condition is introduced to prove the existence of fixed points for a self-mapping in a somplete metric space whose orbital diametral functions are closed. This condition covers not only the Kannan type but also covers Reich, and Hardy & Roger's type contractive conditions. An example is given in its support.
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  • [1]
    G.E.Hardy and T.D.Rogers,A generalization of a fixed point theorem of Reich,Canad.Math.Bull..16(1973),201-206.
    [2]
    A.K.Kalinde,On a fixed point theorem for Kannan's type mappings.Math.Japonica 33,5(1988),721-723.
    [3]
    R.Kannan,Some results on fixed point,Bull.Calcutta Math.Soc.,60(1968),71-76.
    [4]
    S.Reich,Some remark's concerning contraction mappings.Canad.Math.Bull.,14(1971),121-124.
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